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a horticulturalist wants to produce geraniums with specific characteris…

Question

a horticulturalist wants to produce geraniums with specific characteristics. she knows that the trait of red flowers is governed by the allele r (rr and rr) and the trait of white flowers is governed by the allele r(rr). the horticulturalist plans to cross a geranium that is true - breeding for red flowers with a geranium that is true - breeding for white flowers. which punnett square best describes this cross? punnett square image with r, r at top, r, r on left, and cells rr, rr, rr, rr

Explanation:

Brief Explanations
  1. First, identify the genotypes of the parent plants: The true - breeding red - flowered geranium has the genotype RR (since it is true - breeding for the dominant red trait), and the true - breeding white - flowered geranium has the genotype rr (since it is true - breeding for the recessive white trait).
  2. When we set up the Punnett square for a cross between RR and rr, the gametes from the RR parent are all R, and the gametes from the rr parent are all r.
  3. Looking at the given Punnett square option: The top row (gametes from one parent) should be r and r (from rr), and the left - hand column (gametes from the other parent) should be R and R (from RR). When we fill in the Punnett square, the offspring genotypes should be Rr (from R×r) in all cells. Wait, but in the provided Punnett square in the question, the left - hand column has R and r? No, that's an error. Wait, no, the true - breeding red is RR, so it can only produce R gametes, and the true - breeding white is rr, producing only r gametes. So the correct Punnett square should have the gametes of the red parent (RR) as R (top and bottom, if we consider a 2x2 square) and the gametes of the white parent (rr) as r (left and right). Then all offspring are Rr. But in the given option, the left - hand side has R and r? Wait, maybe there was a typo in the option presentation. But among the given option (the one with top row r, r; left column R, r? No, the first row of the Punnett square in the option: top row is r, r; first column (left) is R, r. Wait, no, the true - breeding red is RR, so it can only produce R gametes. So the correct Punnett square should have the male or female gametes as R (both) and the other as r (both). So the Punnett square with top row r, r and left column R, R (but in the given option, left column is R, r? Wait, maybe the option is mis - printed, but the key is that the cross is RR × rr. So the gametes from RR are R, R and from rr are r, r. So the Punnett square should have four cells all with Rr. The given option in the question (the one with top r, r; first row R gives Rr, Rr; second row r gives rr, rr) is incorrect? Wait, no, maybe the true - breeding red was mis - identified. Wait, no, the problem says true - breeding for red is RR (since red is RR or Rr, true - breeding would be RR) and true - breeding for white is rr. So cross RR × rr. Gametes: RR produces R, R; rr produces r, r. So Punnett square:
rr
RRrRr

But in the given option, the left column has R and r. That's a mistake. But maybe the option was supposed to have the red parent as Rr? No, it's true - breeding, so RR. Wait, maybe the question has a typo, but among the given option (the one presented), if we assume that maybe the red parent was Rr (but it's true - breeding, so it should be RR). But the only option provided (the one with top r, r; left R, r) – no, the correct answer should be the Punnett square where all offspring are Rr, which would be the case if the gametes of the red parent are R (both) and white parent are r (both). So the given option (the first one, with top r, r; left R, r – no, that's wrong. Wait, maybe I misread. Let's re - examine: The horticulturalist crosses true - breeding red (RR) with true - breeding white (rr). So the Punnett square should have:

Parent 1 (RR) gametes: R, R

Parent 2 (rr) gametes: r, r

So the Punnett square is:

rr
RRrRr

So the correct Punnett square is the one where the two gametes from the red parent are R (so the left - hand column has R in…

Answer:

The Punnett square with the top row (gametes of the white - flowered parent) as \( r, r \) and the left - hand column (gametes of the red - flowered parent) as \( R, R \) (producing \( Rr \) in all four cells) is the correct one. If we consider the provided option in the question (with top row \( r, r \); first row (left - hand side) \( R \) and second row (left - hand side) \( r \) – this is incorrect in the second row, but if we assume a typo and the left - hand column should be \( R, R \), then this (the provided option with top \( r, r \) and first row \( R \)) is the closest, as the first row (with \( R \)) produces \( Rr \) (correct for the cross of \( RR\times rr \), since \( R \) from red and \( r \) from white give \( Rr \)). The second row (with \( r \)) is incorrect, but maybe it's a misprint, and the intended correct Punnett square is the one that shows \( Rr \) from the cross of \( R \) (from \( RR \)) and \( r \) (from \( rr \)) in the first row, so the answer is the Punnett square with top \( r, r \) and first row \( R \) (producing \( Rr, Rr \)).